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Finding the Fourth Proportional to 16,072.38, 24,087.31 and 11,644.92

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Solution

The fourth proportional to 16,072.38, 24,087.31 and 11,644.92 is: 17,451.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.38 : 24,087.31 = 11,644.92 : x
  2. Step 2: Convert to fraction form
    16,072.38/24,087.31 = 11,644.92/x
  3. Step 3: Cross multiply
    16,072.38x = 24,087.31 × 11,644.92
  4. Step 4: Simplify right side
    16,072.38x = 280,494,739.74
  5. Step 5: Solve for x
    x = 280,494,739.74/16,072.38
  6. Step 6: Final answer
    x = 17,451.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.